Significance testing in 5 different situations

1. Suppose you want to test the claim that the population mean(u) is < or equal to 25.6. Given a sample size of n=44 and a level of significance of 0.05, when should you reject the null hypothesis?

2. Given the null hypothesis: population mean = 25 and the alternative hypothesis population mean not equal to 25, and P=0.041. Do you reject or fail to reject the null hypothesis at the 0.01 level of significance?

3. It is desired to test the null hypothesis: population mean (u) =40 against the alternative hypothesis: population mean (u) < 40 using the level of significance = 0.10. The population in question is uniformly distributed with a standard deviation of 10. A random sample of 36 will be drawn from this population. If the population mean (u) is really equal to 35, what is the probability that the hypothesis test would lead the investigation to commit a Type II error?

4. Find the critical value for a two-tailed test with the level of significance (a) = 0.08.

5. The mean age of bus driver in Chicago is 45.6 years. If a hypothesis test is performed, how should you interpret a decision that rejects the null hypothesis?
The mean age of bus drivers in Chicago is 53.2 years. If a hypothesis test is performed, how should you interpret a decision that fails to reject the null hypothesis?